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10803120 = 243545013
BaseRepresentation
bin101001001101…
…011110110000
3202022212002120
4221031132300
510231144440
61023314240
7160552656
oct51153660
922285076
1010803120
1161095a9
12374b980
1323132a3
141612dd6
15e35dd0
hexa4d7b0

10803120 has 40 divisors (see below), whose sum is σ = 33490416. Its totient is φ = 2880768.

The previous prime is 10803119. The next prime is 10803127. The reversal of 10803120 is 2130801.

It is a happy number.

10803120 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10803120.

It is not an unprimeable number, because it can be changed into a prime (10803127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22267 + ... + 22746.

Almost surely, 210803120 is an apocalyptic number.

10803120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10803120 is an abundant number, since it is smaller than the sum of its proper divisors (22687296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10803120 is a wasteful number, since it uses less digits than its factorization.

10803120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45029 (or 45023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 10803120 is about 3286.8100036357. The cubic root of 10803120 is about 221.0631733844.

Adding to 10803120 its reverse (2130801), we get a palindrome (12933921).

The spelling of 10803120 in words is "ten million, eight hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 45013 90026 135039 180052 225065 270078 360104 450130 540156 675195 720208 900260 1080312 1350390 1800520 2160624 2700780 3601040 5401560 10803120